Kinetic Theory

JEE Main level, single correct, medium

38 of 168

Question 38 of 168

The root mean square velocity of molecules of gas is

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Answer: (C) Proportional to square root of temperature T\sqrt{T}.

Root mean speed of a gas molecule is stated as vrms=3RTM{v}_{rms}=\sqrt{\dfrac{3RT}{M}}, where, RR is the universal gas constant, TT is temperature, and MM is the molar mass of the gas.
Thus,
vrms∝T{v}_{rms}\propto \sqrt{T}.

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